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Does this graph show a function? Explain how you know.

O A. Yes; there are no y values that have more than one x-valuer
O B. No, there are y-values that have more than one x-value.
O C. Yes, the graph passes the vertical line test.
O D. No, the graph fails the vertical line test. SUBMIT​

Does This Graph Show A Function Explain How You KnowO A Yes There Are No Y Values That Have More Than One Xvaluer O B No There Are Yvalues That Have More Than O class=

Sagot :

Answer: D) No. The graph fails the vertical line test.

Explanation:

We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).

So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.

In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.

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